Greatest Common Factor of 138/74, 721/44, 144/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 138/74, 721/44, 144/556

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 138/74,721/44,144/556

Given fractions are 138/74,721/44,144/556

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 138,721,144

Greatest Common Factor of Numerators i.e. GCF of 138,721,144 is 1 .

LCM of Denominators means LCM of 74,44,556 as per the given fractions.

LCM of 74,44,556 is 226292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 138,721,144

GCF of Fractions 138/74,721/44,144/556 is 1/226292

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 138,721,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,721,144 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 138,721,144 . The biggest common factor number is the GCF number.
So the greatest common factor 138,721,144 is 1.

Lets's calculate LCM of 74,44,556

2 74, 44, 556
2 37, 22, 278
37, 11, 139

∴ So the LCM of the given numbers is 2 x 2 x 37 x 11 x 139 = 226292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226292

Therefore, the GCF of Fractions 138/74,721/44,144/556 is 1/226292

Least Common Multiple of 74,44,556 with GCF Formula

Least Common Multiple of 74,44,556 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 74,44,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,44,556) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(74,44,556) x common factors =2 x 4 = 8

LCM(74,44,556) = ( 74 × 44 × 556 ) / 8

LCM(74,44,556) = 1810336 / 8

LCM(74,44,556) = 226292


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 138/74, 721/44, 144/556

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 138/74, 721/44, 144/556?

Answer: GCF of Numerators as per given numbers 138/74, 721/44, 144/556 is

GCF of Numerators i.e. for 138,721,144 is 1

LCM of denominators i.e. for 74,44,556 is 226292.

Thus, GCF of Fractions is 1/226292.Finally, GCF of Fractions for 138/74, 721/44, 144/556 is 1/226292.